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Finding the Third Proportional to 632.53 and 957.23

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Solution

The third proportional to 632.53 and 957.23 is: 1,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.53 : 957.23 = 957.23 : x
  2. Step 2: Convert to fraction form
    632.53/957.23 = 957.23/x
  3. Step 3: Cross multiply
    632.53x = 957.23 × 957.23
  4. Step 4: Simplify right side
    632.53x = 916,297.65
  5. Step 5: Solve for x
    x = 916,297.65/632.53
  6. Step 6: Final answer
    x = 1,448.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.